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Finding the Fourth Proportional to 13,641.76, 18,826.40 and 9,096.59

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Solution

The fourth proportional to 13,641.76, 18,826.40 and 9,096.59 is: 12,553.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.76 : 18,826.40 = 9,096.59 : x
  2. Step 2: Convert to fraction form
    13,641.76/18,826.40 = 9,096.59/x
  3. Step 3: Cross multiply
    13,641.76x = 18,826.40 × 9,096.59
  4. Step 4: Simplify right side
    13,641.76x = 171,256,043.56
  5. Step 5: Solve for x
    x = 171,256,043.56/13,641.76
  6. Step 6: Final answer
    x = 12,553.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.